Chaos Solitons & Fractals最新文献_第3页

pynamicalsys: A Python toolkit for the analysis of dynamical systems 一个用于分析动态系统的Python工具包

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117269

Matheus Rolim Sales, Leonardo Costa de Souza, Daniel Borin, Michele Mugnaine, José Danilo Szezech, Ricardo Luiz Viana, Iberê Luiz Caldas, Edson Denis Leonel, Chris G. Antonopoulos

{"title":"pynamicalsys: A Python toolkit for the analysis of dynamical systems","authors":"Matheus Rolim Sales, Leonardo Costa de Souza, Daniel Borin, Michele Mugnaine, José Danilo Szezech, Ricardo Luiz Viana, Iberê Luiz Caldas, Edson Denis Leonel, Chris G. Antonopoulos","doi":"10.1016/j.chaos.2025.117269","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117269","url":null,"abstract":"Since Lorenz’s seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects of research in physics. Despite of that, there remains a need for accessible, efficient, and easy-to-use computational tools to study such systems. In this paper, we introduce ▪ , a simple yet powerful open-source Python module for the analysis of nonlinear dynamical systems. In particular, ▪ implements tools for trajectory simulation, bifurcation diagrams, Lyapunov exponents and several others chaotic indicators, period orbit detection and their manifolds, as well as escape and basins analysis. We demonstrate the capabilities of ▪ through a series of examples that reproduces well-known results in the literature while developing the mathematical analysis at the same time. We also provide the Jupyter notebook containing all the code used in this paper, including performance benchmarks. ▪ is freely available via the Python Package Index (PyPI) and is intended to support both research and teaching in nonlinear dynamics.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"1 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Longitudinal dynamics of optical vortices based on multi-spiral arrays 基于多螺旋阵列的光学涡旋纵向动力学

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117385

Li Ma, Ying Zhang, Ying Wang, Farhan Azeem, Yaru Gao

{"title":"Longitudinal dynamics of optical vortices based on multi-spiral arrays","authors":"Li Ma, Ying Zhang, Ying Wang, Farhan Azeem, Yaru Gao","doi":"10.1016/j.chaos.2025.117385","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117385","url":null,"abstract":"Optical vortices, possessing orbital angular momentum (OAM) and spiral wavefronts, have become indispensable carriers for high-dimensional classical and quantum information. While transverse vortex properties are extensively characterized, the longitudinal dynamics of vortex fields, crucial for understanding complex light propagation, remain relatively unexplored. To address this, we introduce a phase-encoded methodology utilizing multi-spiral arrays (MSAs) to enable systematic spatial control and analysis of longitudinal vortex dynamics. Through a comprehensive theoretical framework, we derive vortex field expressions across ultra-near-field, near-field, and far-field regimes, and establish analytic formulations for longitudinal properties. Numerical simulations reveal fundamental longitudinal dynamics, as a monotonic decay of OAM coupled with progressive attenuation of Poynting vector. Quantitative analysis via circumferential averaging at intensity maxima conclusively reveals the dual dependence of vortex dynamics on spiral structure and propagation depth. The MSA-based modulation paradigm provides a fundamental theoretical framework essential for advancing structured light applications demanding precise spatial control over optical vortices.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"2 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

SCGC-JWAF: Shallow contrastive graph clustering with Jaccard-based weighted adaptive filtering SCGC-JWAF：基于jaccard加权自适应滤波的浅对比图聚类

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117374

Nazila Pourhaji Aghayengejeh, Farzaneh Ghorbani Dizaj Yekan, M.A. Balafar

{"title":"SCGC-JWAF: Shallow contrastive graph clustering with Jaccard-based weighted adaptive filtering","authors":"Nazila Pourhaji Aghayengejeh, Farzaneh Ghorbani Dizaj Yekan, M.A. Balafar","doi":"10.1016/j.chaos.2025.117374","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117374","url":null,"abstract":"Node clustering has gained significant attention due to its effectiveness in uncovering hidden structures in graph-structured data. However, real-world graphs often contain noise and are sparsely connected, which negatively impacts clustering accuracy. Moreover, unweighted graphs cannot reflect the varying strengths of connections between nodes, resulting in less discriminative representations and poor clustering outcomes. To address this, we propose SCGC-JWAF, a shallow contrastive node clustering model that introduces a weighted adaptive filter based on node intimacy-driven graph. First, we construct the weighted graph by combining graph’s structural data with jaccard similarity information. Then, we design a weighted adaptive filter with a new weight factor and the modified graph that incorporates high-pass and low-pass filters. By using a weighted Jaccard-based graph in the filtering process, nodes with higher Jaccard similarity contribute more to smoothing, while those with low overlap contribute less, reducing noisy influences. This filter refines nodes’ features and enhances the discriminative power of the filtered features by encoding fine-grained topological similarity. Finally, a proximity-level contrastive mechanism improves the topological structure of the graph and strengthens the discriminability of the learned graph by drawing similar nodes closer and pushing dissimilar ones apart. Extensive experiments demonstrate that our proposed shallow model achieves strong accuracy across multiple datasets–75.96% (Cora), 73.34% (Citeseer), 62.84% (Texas), 53% (Cornell), 68.69% (Pubmed), 62.57% (Wiki), and 64.14% (Wisconsin)–while outperforming 26 state-of-the-art graph clustering methods.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"53 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Decoding global economic dynamic: A graph-based examination of contemporary ETF markets 解读全球经济动态：当代ETF市场的图表分析

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117313

Ru Geng, Hong-Kun Zhang, Yixian Gao, Gangnan Yuan

引用次数: 0

Localization and splitting of a quantum droplet with a potential defect 具有潜在缺陷的量子液滴的局部化和分裂

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117383

F. Bristy, G.A. Bougas, G.C. Katsimiga, S.I. Mistakidis

{"title":"Localization and splitting of a quantum droplet with a potential defect","authors":"F. Bristy, G.A. Bougas, G.C. Katsimiga, S.I. Mistakidis","doi":"10.1016/j.chaos.2025.117383","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117383","url":null,"abstract":"We unravel the existence and nonequilibrium response of one-dimensional harmonically trapped droplet configurations in the presence of a central potential barrier or well. For fixed negative chemical potentials, it is shown that droplets fragment into two for increasing potential barrier heights, a process that occurs faster for larger widths. However, atoms from the droplet accumulate at the potential well, especially for wider ones, leading to a deformed droplet and eventually to the termination of the solution. Linearization analysis yields the underlying excitation spectrum which dictates stability and the behavior of the ensuing collective modes. Quenches in the potential height are used to demonstrate dynamical fragmentation of the droplet for potential barriers as well as self-evaporation along with droplet localization and eventual relaxation for longer evolution times in the case of potential wells. The presence of selective excitation processes emanating from quantum superposition in the induced droplet dynamics is explicated by evaluating the contribution of the participating single-particle eigenstates. Our results should be detectable by current ultracold atom experiments and may inspire engineered droplet dynamics with the aid of external potentials.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"72 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Assessing time series predictability by extending wavelet energy-based entropy and divergence measures using the Sharma–Mittal framework 利用Sharma-Mittal框架通过扩展小波能量熵和散度度量来评估时间序列的可预测性

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-08 DOI: 10.1016/j.chaos.2025.117351

Alessandro Mazzoccoli

引用次数: 0

Self-dynamics and inter-dynamics network reconstruction for characterizing the systemic risk in stock market 股票市场系统性风险特征的自动态与互动态网络重构

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-07 DOI: 10.1016/j.chaos.2025.117312

Hongyu Wei, Feng An, Xiangyun Gao, Xiaotian Sun

{"title":"Self-dynamics and inter-dynamics network reconstruction for characterizing the systemic risk in stock market","authors":"Hongyu Wei, Feng An, Xiangyun Gao, Xiaotian Sun","doi":"10.1016/j.chaos.2025.117312","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117312","url":null,"abstract":"Reconstructing a dynamic network evolving over time is a fundamental scientific problem for understanding the propagation and diffusion of risk in complex systems. In this paper, we reconstruct the dynamic network of the global stock market at 4927 time points using self-dynamics and inter-dynamics model while considering time factors. Through orthogonal basis decomposition, the dynamic interactions within the stock market are transformed into a linear inverse problem that can be solved using parallel computing. We analyse the evolution of the dynamic interaction among the stock indices and characterize the systemic risk of stock market from a network topology perspective. The results suggest that the occurrence of unexpected events enhances the dynamic interactions among stock indices. The self-dynamics and inter-dynamics model is capable of identifying stock indices that are more significantly affected by such events. Furthermore, these stock indices tend to be concentrated in countries or regions that are highly correlated with unexpected events. Additionally, the average path weight and clustering coefficient are effective indicators of systemic risk in the stock market. This paper also compares the self-dynamics and inter-dynamics model with Granger test, GARCH-BEKK and DY framework methods and finds that the results are still robust. This method offers distinct advantages in characterizing systemic risk.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"19 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Painlevé test, first integrals and analytical solutions of the Korteweg–de Vries–Burgers equation with a nonlinear source 具有非线性源的Korteweg-de Vries-Burgers方程的painlev<s:1>检验、第一积分和解析解

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-07 DOI: 10.1016/j.chaos.2025.117380

Nikolay A. Kudryashov

{"title":"Painlevé test, first integrals and analytical solutions of the Korteweg–de Vries–Burgers equation with a nonlinear source","authors":"Nikolay A. Kudryashov","doi":"10.1016/j.chaos.2025.117380","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117380","url":null,"abstract":"The Korteweg–de Vries–Burgers equation with a nonlinear source is studied. The Cauchy problem for this equation cannot be solved by the inverse scattering transform in the general case. Therefore, the equation is considered taking into account the traveling wave variables. The Painlevé test is applied to the resulting nonlinear ordinary differential equation to investigate its integrability. It is shown that general solutions of the nonlinear ordinary differential equation can be expressed via the Weierstrass elliptic function and the first Painlevé transcendents under certain parameter constraints. The relationship between the Painlevé test and special methods for finding exact solutions of nonlinear differential equations is discussed. Special methods are used to construct analytical solutions with one and two arbitrary constants. Exact solutions with two arbitrary constants expressed in terms of the Weierstrass elliptic function are obtained. Exact solutions with one arbitrary constant of the Korteweg–de Vries–Burgers equation with a nonlinear source are found using the logistic function method. It is demonstrated that the family of equations for which exact solutions are found is significantly expanded by the use of special methods.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"13 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Synchronization control of memristive chaotic maps based on Rulkov neuron models and their application in traffic image protection 基于Rulkov神经元模型的记忆混沌地图同步控制及其在交通图像保护中的应用

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-07 DOI: 10.1016/j.chaos.2025.117332

Shaohui Yan, Rong Lu, Jiandong Zhang

引用次数: 0

Jamming transition in intelligent driver model integrating fault-tolerant control to counteract cyber-attacks within cellular vehicle-to-everything environments 集成容错控制的智能驾驶员模型中的干扰转换，以抵抗蜂窝车对万物环境中的网络攻击

IF 7.8 1区数学

Chaos Solitons & Fractals Pub Date : 2025-10-07 DOI: 10.1016/j.chaos.2025.117147

Huili Tan, Yuanlong Sun, Dongxue Xia, Guanghan Peng

{"title":"Jamming transition in intelligent driver model integrating fault-tolerant control to counteract cyber-attacks within cellular vehicle-to-everything environments","authors":"Huili Tan, Yuanlong Sun, Dongxue Xia, Guanghan Peng","doi":"10.1016/j.chaos.2025.117147","DOIUrl":"https://doi.org/10.1016/j.chaos.2025.117147","url":null,"abstract":"In the ‘vehicle-road-cloud’ (VRC) architecture, roadside units (RSUs) and on-board units (OBUs) remain acutely vulnerable to diverse cyber-attack threats within the cellular vehicle-to-everything (C-V2X) environment. Recognizing the profound impact of potential cyber-attacks on RSUs and OBUs within this VRC framework, we crafted an intelligent driving model explicitly incorporating the detrimental effects of such attacks on these critical components for connected automated vehicles (CAVs). Furthermore, we implemented a specialized fault-tolerant control method designed for robust safety compensation to resist cyber-attacks in the C-V2X context. Through rigorous linear stability analysis, we deduced precise stability conditions pertaining to fault-tolerant control to boycott cyber-attacks, which indicates that cyber-attacks have disrupted the stability of CAVs, while fault-tolerant control effectively suppresses the negative impact of cyber-attacks. Additionally, Simulation results starkly reveal that cyber-attacks severely compromise traffic safety; denial-of-service (DoS) attacks prove especially detrimental to connected vehicle security. Crucially, the safety compensation fault-tolerant control method dramatically mitigates the destabilizing fluctuations induced by cyber-attacks, highlighting its indispensable contribution to enhanced traffic safety.","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"7 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2025-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145261663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0